# 9. Divide a fraction by a fraction using the multiplicative inverse (FP)

teaches Common Core State Standards CCSS.Math.Content.6.NS.A.1 http://corestandards.org/Math/Content/6/NS/A/1
teaches Common Core State Standards CCSS.Math.Practice.MP8 http://corestandards.org/Math/Practice/MP8

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Lesson objective: Fluently connect fraction division with multiplication by using multiplicative inverse.

This lesson helps to build procedural skill with connecting fraction division with multiplication by using the multiplicative inverse. Multiplication is used here because students can build from their prior knowledge of fraction multiplication to understand fraction division. This work develops students' understanding that the relationship between multiplication and division extends to fractions.

Students engage in Mathematical Practice 8 (look for and express regularity in repeated reasoning) as they complete the equations by connecting fraction division and fraction multiplication.

Key vocabulary:

• dividend
• divisor
• multiplicative inverse
• quotient

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